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Multivariable Calculus + Physics help

  1. Oct 6, 2013 #1
    Hi all, I am a university student taking Calculus II at the moment. The course sometimes use physics examples, however I do not have any physics background. So I am reaching out to you guys to help me through this math question.
    1. The problem statement, all variables and given/known data
    A baseball is hit from 4ft above home plate with an initial velocity [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] (horizontally 40ft/s and vertically 12ft/s). Neglect all forces other than gravity, [tex]g=32ft/s^2[/tex]
    (a) How far does the ball travel horizontally?
    (b) Find the maximum height reached.

    2. Relevant equations

    Equations, posted again, are [tex]\vec v(0)=40 \vec i+12 \vec j(ft/s)[/tex] and [tex]g=32ft/s^2[/tex]

    3. The attempt at a solution

    I googled and found the equation [tex]v=gt+v_i[/tex] but I'm not sure if this is the right one, or how to proceed with this. Please advise.
    Last edited: Oct 6, 2013
  2. jcsd
  3. Oct 6, 2013 #2


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    Science Advisor
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    Gold Member

    That's "advise", not "advice".

    Start with the acceleration ##\vec A = 0i - 32j##, integrate twice and use your initial position and velocity to evaluate the constants to get the equations of motion.
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